Complex Numbers And Quadratic Equations question 608

Question: Product of real roots of the equation $ t^{2}x^{2}+|x|+9=0 $ [AIEEE 2002]

Options:

A) Is always positive

B) Is always negative

C) Does not exist

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Note that for $ t\in R,t^{2}x^{2}+|x|+9\ge 9 $ and hence the given equation cannot have real roots.